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Finding the Third Proportional to 133,766 and 315,755

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Solution

The third proportional to 133,766 and 315,755 is: 745,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,766 : 315,755 = 315,755 : x
  2. Step 2: Convert to fraction form
    133,766/315,755 = 315,755/x
  3. Step 3: Cross multiply
    133,766x = 315,755 × 315,755
  4. Step 4: Simplify right side
    133,766x = 99,701,220,025
  5. Step 5: Solve for x
    x = 99,701,220,025/133,766
  6. Step 6: Final answer
    x = 745,340.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.